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Finding the Fourth Proportional to 132,193.87, 198,293.37 and 32,354.93

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Solution

The fourth proportional to 132,193.87, 198,293.37 and 32,354.93 is: 48,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,193.87 : 198,293.37 = 32,354.93 : x
  2. Step 2: Convert to fraction form
    132,193.87/198,293.37 = 32,354.93/x
  3. Step 3: Cross multiply
    132,193.87x = 198,293.37 × 32,354.93
  4. Step 4: Simplify right side
    132,193.87x = 6,415,768,105.81
  5. Step 5: Solve for x
    x = 6,415,768,105.81/132,193.87
  6. Step 6: Final answer
    x = 48,533.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.